👉 Scoop math, also known as scooping or scooping numbers, is a method of quickly calculating the sum of a large set of consecutive integers by grouping them strategically. Instead of adding each number individually, you identify pairs of numbers that add up to a constant sum (often half the total sum). For example, to find the sum of 1 through 100, you can pair 1 with 100 (1+100=101), 2 with 99 (2+99=101), and so on, up to 50 with 51 (50+51=101). Since each pair sums to 101 and there are 50 pairs, you multiply 101 by 50, getting 5050. This technique significantly reduces the computational effort, making it a fast and efficient way to handle large sequences of numbers.
